Solve the system of equation
2x-y= 6
x+y= -3

Answer:

18

Step-by-step explanation:

Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.

For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm

Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.

Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks

To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).

To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).

Since both stacks have the same area of cross-section, we can set up the equation 6mm × (area of a square) × 24 = 8mm × (area of a triangle) × (number of triangular cutouts). By finding the ratio of the volumes and solving for the number of triangular cutouts, we can determine the number needed.

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Answer:

1

Step-by-step explanation:

[tex]slope = \frac{ - 3 - 2}{ - 2 - 3} = \frac{ - 5}{ - 5} = 1 \\ [/tex]

Answer: 5/5 aka 1

Explanation: y1-y2/x1-x2 (-3 - 2/-2 - 3)

Answer:

P(0<z<1.3)

Step-by-step explanation:

Edge2020

Answer:

Step-by-step explanation:

C

Answer:

72

Step-by-step explanation:

These questions are best done if you draw a diagram

if you do, you will see that the wires are arranged in a 3,4,5 right triangle.

you only need the perimeter so for each tree you  need 12 feet of wires

multiply that by 6 and you get 72

Answer:

72

Step-by-step explanation:

Hope this helps!

Answer:

24m

Step-by-step explanation:

Area of a triangle = bh/2.

The base of this triangle is 6. The altitude for the bottom base is 8. Thus, 8 * 6 all over 2 is 24.

Answer:

[tex]9\pi[/tex]

Step-by-step explanation:

I don't see a picture, so I'm assuming the cylinder looks like a soup can sitting on a table, resting on it's circular base.

The base of the cylinder is a circle, so you need to find the area of a circle with diameter 6.  Use the formula

[tex]A=\pi r^2[/tex] where r is the radius of the cylinder.  If the diameter is 6, then the radius is 3.

[tex]A=\pi (3)^2 = 9\pi[/tex]

Answer:

  -2-2√3, -2+2√3

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

  x(-4-x) = -8

  -4x -x^2 = -8 . . . . . eliminate parentheses

  x^2 +4x = 8 . . . . . . multiply by -1

  x^2 +4x +4 = 12 . . . add 4 to complete the square

  (x +2)^2 = 12

  x +2 = ±√12 = ±2√3

  x = -2±2√3

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

To find two numbers that multiply to -8 and add to -4, we can guess and check until we find a pair that satisfies both conditions. The two numbers in this case are -4 and 2.

The question is asking for two numbers that, when multiplied together, equal -8 and, when added together, equal -4. This falls under the category of quadratic equations. To solve this problem, we would typically use the formula "x = [ -b ± sqrt(b² - 4ac) ] / 2a", but in this case, it's easier to guess and check numbers. The two numbers that satisfy the conditions are -4 and 2. Their multiplication gives us -8 (-4*2) and their addition gives us -4 (-4+2).

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Answer:

Step-by-step explanation:

hello :

f(x)=3x^2-6x+13

1)  a=3   and  b= -6

2)  the x coordinate of the vertex is : x= -b/2a    so :  x= -(-6)/6 = 1

3) the y coordinate by x= 1 is : f(1) = 3(1)²-6(1)+13 = 10

Answer: 10cm

Step-by-step explanation:

If the area is 120 and I'm assuming you meant the side length is 12, then 120 divided by 12 is 10

Step-by-step explanation:

Plug z = -4 into the equation

-4. -4 - 11 = 16 -11 = 5

Answer:

constant term:n

numerical coefficient:2

Step-by-step explanation:

a numerical coefficient is a fixed number that is multiplied to a variable. So in the expression, the numerical coefficient would be 2

A constant term is something in an algebraic expression that does not change which is n

Answer:

C: the runners ran faster this year, on average, as compared to last year

Step-by-step explanation:

Mean is a measure of center and MAD is a measure of dispersion. Comparing the means, this year, on average, the runners ran faster than last year.

Answer:

c

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

It should be 0.6. you add the numbers you got I think you add

Answer: 186

Step-by-step explanation: If it goes up by 8 every time, all we have to do is do -30 + (8*27)       We multiply it by 27 instead of 38 because -30 is the first term. Now lets solve the problem.

-30 + (8*27)

-30 + 216

186

The 28th term is equal to 186.

Sorry this is late! Hope this helped.

Answer:

56

Step-by-step explanation:

if you take one color and apply it to all of the other colors there are 56 ways you can she can decorate it

Answer:

B) 56 i believe

Step-by-step explanation:

to find that answer you want to multiply all of the possible answers your welcome

Answer:

D. 36 feet

Step-by-step explanation:

if Cassie's new ratio is 1:12 height-to-base, and her height is 3, plug that information into the ratio.

1:12 = 3:b

to go from 1 to 3, you multiply 1 by 3, so you will need to multiply 12 by 3 to get the new base.

3x12 = 36

D. 36 feet

Answer:

58.33%

Step-by-step explanation:

To turn a fraction into a percent all you need to do is multiply the numerator by the denominator

Answer:

(x-2 )= 18

(4xt1) = 81

i got it because x=20 mark branliest if you can thanks

so the right answer is of option D.

Hope this will help u...

The statement that shows that indicates an association between the categorical variables is (c) The value of B is not similar to the value of C.

From the complete question, see attachment for the table:

We can see that the entries on the last row are equal i.e. 1.0

For the table to show an association, entries at adjacent cells must not be similar.

i.e. A and B, B and C and C and D must not be similar

Hence,  the true statement about the table is (c)

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The most likely indication of an association between gender and favorite meal to cook is if C)  the value of B is not similar to the value of C, suggesting a significant difference in meal preferences among males for lunch and dinner.

To determine if there is an association between gender and a person's favorite meal to cook, we need to compare the conditional relative frequencies.

Since we are looking for an indication of association, the most likely scenario would be that c) the value of B is not similar to the value of C.

Complete Question:

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.

A 5-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled breakfast with entries A, E, 1.0. The third column is labeled lunch with entries B, F, 1.0. The fourth column is labeled dinner with entries C, G, 1.0. The fifth column is labeled total with entries D, H, 1.0.

                 Breakfast, Lunch, Dinner, Total

Male         A,           B,         C,           D

Female     E,          F,           G,        H

Total          1.0       1.0         1.0          1.0

Which would most likely indicate an association between the categorical variables?

A. The value of A is similar to the value of B.

B. The value of A is similar to the value of E.

C. The value of B is not similar to the value of C.

D. The value of B is not similar to the value of F.

The height of the pyramid is 11 cm

Step-by-step explanation:

Let the height of the pyramid be 'h'

Volume of the triangular pyramid= (1/3) (base area) (height of the pyramid)

110 = (1/3) (1/2) (10) (6) (h)

110 = (1/6) (60) (h)

110 = (10) h

h = 110/10

h = 11 cm

The height of the pyramid is 11cm

Final answer:

The probability that the arrow will land on the purple section of the spinner is calculated by dividing the number of purple results (12) by the total number of results (60), resulting in a probability of 1/5 or 20%.

Explanation:

The question is asking about the probability of the arrow landing on the purple section of a spinner with four different colored sections (orange, red, blue, and purple), each with a different number of results (orange: 9, red: 15, blue: 24, purple: 12). To calculate this probability, you need to use the basic probability formula which is:

Probability of an event = (Number of ways the event can occur) / (Total number of possible outcomes)

So the probability that the arrow will land on the purple section is:

Probability of purple = Number of purple results / Total results = 12 / (9 + 15 + 24 + 12) = 12 / 60 = 1 / 5

Therefore, the probability is 0.2, or 20%.

Every triangle is 180 degrees, so each other angle should have 20

Answer: 20 :)

Step-by-step explanation:

Answer:

3(x - 2)(x - 2)

Step-by-step explanation:

[tex]3 {x}^{2} - 12x + 12 \\ = 3 {x}^{2} - 6x - 6x + 12 \\ = 3x(x - 2) - 6(x - 2) \\ = (3x - 6)(x - 2) \\ = 3(x - 2)(x - 2)[/tex]

Final answer:

Using the Law of Cosines with the given sides and angle, we find that only one unique triangle can be drawn since a specific third side length can be determined, allowing only one possible triangle to exist.

Explanation:

To determine how many unique triangles can be drawn with side lengths of 12 cm and 16 cm and an included angle of 50°, we use the concept of triangle construction. The Law of Cosines allows us to find the range of possible third sides that could form a triangle:

c² = a² + b² - 2ab*cos(C),

where:

The solution to this equation will determine if we have a single unique triangle, more than one triangle, or no triangle at all. In this case:

c² = 12² + 16² - 2*12*16*cos(50°)

Calculating the value, we can then check if 0 < c < 28 (because for a triangle to exist, the sum of any two sides must be greater than the third side). If the third side falls within this range, a unique triangle can be drawn. As a triangle with two sides and an included angle will only yield one possible third side length, there can be only one unique triangle formed.

So, the answer is that with the given two sides and included angle, only one unique triangle can be drawn.

Answer:

The height of the can is 4 inches.

Step-by-step explanation:

Cylinder:

Given that, the surface area of the soup can is 51.84 in².

The diameter of the can is 3 inches.

Then, radius of the can [tex]=\frac{Radius}{2}[/tex]

                                      [tex]=\frac32[/tex] inches

                                      =1.5 inches

Total surface area of the cone is = 2πrh+2πr²

                                                      [tex]=2\pi (1.5)h+2\pi (1.5)^2[/tex] in².

                                                      [tex]=2\pi (1.5)(h+1.5)[/tex]  in².

                                                      =3π(h+1.5)  in².

So,

3π(h+1.5)=51.84

[tex]\Rightarrow (h+1.5)=\frac{51.84}{3\pi}[/tex]

[tex]\Rightarrow h=\frac{51.84}{3\pi}-1.5[/tex]

⇒h=5.5-1.5

⇒h=4 inches

The height of the can is 4 inches.

In this context:

[tex]\boxed{\angle DBC=x=60^{\circ}}[/tex]

Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is the measure of its central angle being a central angle an angle between two radii in a circle. Suppose that angle measures:

[tex]\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}[/tex]

9514 1404 393

Answer:

  D.  If a is between 0 and 1, the image of the polygon is smaller than the polygon.

Step-by-step explanation:

The given transformation represents a dilation by a scale factor of 'a'. Every linear dimension of the image polygon will be a factor of 'a' times the corresponding dimension of the original.

When a > 1, the image is larger.

When a = 1, the image is congruent to the original (no sizes have changed).

When 0 < a < 1, the image is smaller. This description matches choice D.

The correct answer is D. If a is between 0 and 1, the image of the polygon is smaller than the original polygon.

Given that a polygon is graphed on a coordinate grid with (x, y) representing the location of a certain point of the polygon.

The polygon is transformed using the rule (x, y) → (ax, ay).

We need to determine the possible result of the transformation.

When a transformation rule (x, y) → (ax, ay) is applied to a polygon on a coordinate grid, the value of a determines the scaling factor of the image.

If a is greater than 1, the image of the polygon will be larger than the original polygon because the coordinates are multiplied by a value greater than 1, resulting in an expansion or enlargement of the shape.

If a is between 0 and 1, the image of the polygon will be smaller than the original polygon because the coordinates are multiplied by a value between 0 and 1, resulting in a contraction or reduction of the shape.

Therefore, statement D is correct.

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